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Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
20 Aug 2012, 02:11

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Question Stats:

79%(02:14) correct
21%(01:18) wrong based on 872 sessions

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
20 Aug 2012, 02:12

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SOLUTION

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15(B) 17(C) 20(D) 25(E) 30

The number of researchers assigned to Team A will be 0.40*50 = 20;The number of researchers assigned to Team B will be 0.60*50 = 30.

The number of researchers who prefer Team A will be 0.70*50 = 35;The number of researchers who prefer Team B will be 0.30*50 = 15.

Now, if ALL 20 spots in Team A, will be filled by the researchers who prefer Team A, then the remaining 15 researchers who prefer Tam A will be assigned to Team B (along with 15 researchers who DO prefer Team B).

Hence, the minimum number of researchers who will NOT be assigned to the team they prefer is 15.

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
20 Aug 2012, 05:33

IMO A

15 person prefer B and 30 will be assigned to Team B. All preference for Team B are fulfilled.35 Person prefer A and only 20 will be assigned to Team A and rest 15 person will be forced to join team B.So (35-20)=15 will not get their preference. _________________

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
21 Aug 2012, 15:29

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This question would be tough if the wordings of the question are changed from minimum to maximum no of people.

Old Phrasing - What is the lowest possible number of researchers who will NOT be assigned to the team they prefer? = 15 peopleNew Phrasing - What is the highest possible number of researchers who will NOT be assigned to the team they prefer? = 45 people

I hope these phrasings will help many people to understand the concept in totality _________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

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Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
22 Aug 2012, 06:19

fameatop wrote:

This question would be tough if the wordings of the question are changed from minimum to maximum no of people.

Old Phrasing - What is the lowest possible number of researchers who will NOT be assigned to the team they prefer? = 15 peopleNew Phrasing - What is the highest possible number of researchers who will NOT be assigned to the team they prefer? = 45 people

I hope these phrasings will help many people to understand the concept in totality

Could you please explain how to work on the second question? _________________

If you found my post useful and/or interesting - you are welcome to give kudos!

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
24 Aug 2012, 05:25

Expert's post

SOLUTION

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15(B) 17(C) 20(D) 25(E) 30

The number of researchers assigned to Team A will be 0.40*50 = 20;The number of researchers assigned to Team B will be 0.60*50 = 30.

The number of researchers who prefer Team A will be 0.70*50 = 35;The number of researchers who prefer Team B will be 0.30*50 = 15.

Now, if ALL 20 spots in Team A, will be filled by the researchers who prefer Team A, then the remaining 15 researchers who prefer Tam A will be assigned to Team B (along with 15 researchers who DO prefer Team B).

Hence, the minimum number of researchers who will NOT be assigned to the team they prefer is 15.

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]
11 Sep 2012, 10:46

grignard wrote:

I think I sort of understand this one. Why does the question ask for "lowest#?"Will there be a big difference between lowest and highest?

Nice question...

what we have calculated is, atleast, 15 % people are those who has been assigned to the team which they didnt prefer, it may b more than that rite? like we dont know actually the people who has been assigned to teams are actually assigend to preferd team, it may b more than, but atleast 15% person, not less than that..

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Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

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Team A..40% of 50 = 20 Team B..60% of 50 = remaining 30.but 70% of researcher prefer A i.e 35

so out of 35 only 20 ppl got allocated to preferred one hence 15 hasn't it would be the same story for ppl who preferred Team B as well.